ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of BeAg3 (Materials Project id mp-984719)

       101       99       99        0        0        0  
        99      101       99        0        0        0  
        99       99      101        0        0        0  
         0        0        0       50        0        0  
         0        0        0        0       50        0  
         0        0        0        0        0       50  

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	KV = 99.667 GPa	EV = 82.783 GPa	GV = 30.4 GPa	νV = 0.36157
Reuss	KR = 99.667 GPa	ER = 7.2229 GPa	GR = 2.4272 GPa	νR = 0.48792
Hill	KH = 99.667 GPa	EH = 46.678 GPa	GH = 16.414 GPa	νH = 0.42194

Eigenvalues of the stiffness matrix

λ1	λ2	λ3	λ4	λ5	λ6
2 GPa	2 GPa	50 GPa	50 GPa	50 GPa	299 GPa

Variations of the elastic moduli

	Young's modulus		Linear compressibility		Shear modulus		Poisson's ratio
	Emin	Emax	βmin	βmax	Gmin	Gmax	νmin	νmax
Value	2.99 GPa	128.51 GPa	3.3445 TPa–1	3.3445 TPa–1	1 GPa	50 GPa	-1.4835	2.3013	Value
Anisotropy	42.98		1.0000		50		∞		Anisotropy
Axis	0.0000 0.0000 1.0000	-0.5774 0.5774 -0.5773	0.9983 0.0000 0.0589	0.0000 0.0000 1.0000	0.7071 0.0001 -0.7071	-0.0000 0.0000 1.0000	-0.6241 0.6241 -0.4701	0.6304 0.6304 -0.4531	Axis
					-0.7071 -0.0002 -0.7071	-0.5000 -0.8660 0.0000	-0.7071 -0.7071 0.0000	0.3204 0.3204 0.8915	Second axis

Spatial dependence of Young's modulus

[[101.0, 99.0, 99.0, 0.0, 0.0, 0.0], [99.0, 101.0, 99.0, 0.0, 0.0, 0.0], [99.0, 99.0, 101.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 50.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 50.0]] BeAg3 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-984719" target="_blank">mp-984719</a>) young

Spatial dependence of linear compressibility

[[101.0, 99.0, 99.0, 0.0, 0.0, 0.0], [99.0, 101.0, 99.0, 0.0, 0.0, 0.0], [99.0, 99.0, 101.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 50.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 50.0]] BeAg3 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-984719" target="_blank">mp-984719</a>) lc

Spatial dependence of shear modulus

[[101.0, 99.0, 99.0, 0.0, 0.0, 0.0], [99.0, 101.0, 99.0, 0.0, 0.0, 0.0], [99.0, 99.0, 101.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 50.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 50.0]] BeAg3 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-984719" target="_blank">mp-984719</a>) shear

Spatial dependence of Poisson's ratio

[[101.0, 99.0, 99.0, 0.0, 0.0, 0.0], [99.0, 101.0, 99.0, 0.0, 0.0, 0.0], [99.0, 99.0, 101.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 50.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 50.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 50.0]] BeAg3 (Materials Project id <a href="https://www.materialsproject.org/materials/mp-984719" target="_blank">mp-984719</a>) poisson

Code version: 2020.07.26 (running on Python 3.7.2)